51426779040 has 384 divisors, whose sum is σ = 221532433920. Its totient is φ = 10850402304.

The previous prime is 51426779023. The next prime is 51426779071. The reversal of 51426779040 is 4097762415.

51426779040 is a `hidden beast` number, since 514 + 2 + 6 + 7 + 7 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327712 + ... + 458528.

It is an arithmetic number, because the mean of its divisors is an integer number (576907380).

Almost surely, 2^51426779040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51426779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110766216960).

51426779040 is an abundant number, since it is smaller than the sum of its proper divisors (170105654880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51426779040 is a wasteful number, since it uses less digits than its factorization.

51426779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130861 (or 130847 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 51426779040 in words is "fifty-one billion, four hundred twenty-six million, seven hundred seventy-nine thousand, forty".